I think we are coming to realize that we are quantitatively different rather than qualitatively different. Animals can count (but not very high). They can use tools (but not very advanced ones). They can communicate (but not very well). They can create a culture of learned behaviors (but not a very rich one).

Another thing that's quite interesting is how big the difference can be between a smart and stupid animal of the same species. To me that kinda hints at the possibility of breeding animals for intelligence.